Universidade Federal da Bahia Instituto de Física - Departamento de Física Geral Fís122 – Física Geral e Experimental II-E Semestre: 2007.1 Turma:: T09 Turma Profº: Eliano Soares da Silva E-MAIL:
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CORREÇÃO DA LISTA 01 OSCILAÇÕES UNIDADE I
EXERCÍCIOS: 05; 07; 08; 13; 09; 14; 15; 17; 18 e 20
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CORREÇÃO DA LISTA 01 OSCILAÇÕES UNIDADE I 05) – O pêndulo da figura 2 é formado por uma barra, de tamanho L e massa desprezível, tal que uma de suas extremidades está articulada no teto e a outra suporta uma esfera de massa M. Exatamente no meio da barra conecta-se, horizontalmente, uma mola de constante k que está presa num suporte fixo. Assumindo-se que a mola está relaxada quando a barra está em equilíbrio, encontre a freqüência angular para o seu movimento descrito no plano vertical, no caso de pequenas oscilações. Momento de inércia da esfera (atada à barra) I = ML2. Despreze as reações vinculares do meio e da articulação. Resp: ω0 = [(g /L ) + (k /4M)]1/2
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CORREÇÃO DA LISTA 01 OSCILAÇÕES UNIDADE I SOLUÇÃO
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CORREÇÃO DA LISTA 01 OSCILAÇÕES UNIDADE I
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CORREÇÃO DA LISTA 01 OSCILAÇÕES UNIDADE I
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CORREÇÃO DA LISTA 01 OSCILAÇÕES UNIDADE I 07) - Um pêndulo simples constituído por um fio de comprimento 80 cm e uma massa de 0,30 kg. No instante inicial, o mesmo é deslocado 15º de sua posição de equilíbrio e então liberado. Encontre (a) a frequência angular e o período; (b) a função de deslocamento angular; (c) o valor máximo da velocidade angular ; (d) o valor máximo da tensão no fio. f io. Resp: (a) 3,501 /s, 1,795 s ; (b) (0,262) sen [3,501.t + π /2] ; (c) 0,917 /s ; (d) 3,14 N
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CORREÇÃO DA LISTA 01 OSCILAÇÕES UNIDADE I
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CORREÇÃO DA LISTA 01 OSCILAÇÕES UNIDADE I
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CORREÇÃO DA LISTA 01 OSCILAÇÕES UNIDADE I
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CORREÇÃO DA LISTA 01 OSCILAÇÕES UNIDADE I
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CORREÇÃO DA LISTA 01 OSCILAÇÕES UNIDADE I 08) – Tem-se uma barra de comprimento L, suspensa por uma de suas extremidades, de modo a oscilar livremente como um pêndulo composto. Encontre: a) o período; b) o comprimento do pêndulo simples equivalente; c) o período de oscilação se a barra for suspensa por um eixo que está uma distância, de uma das extremidades, igual ao comprimento do pêndulo simples equivalente determinado previamente.
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CORREÇÃO DA LISTA 01 OSCILAÇÕES UNIDADE I
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CORREÇÃO DA LISTA 01 OSCILAÇÕES UNIDADE I 13) - A freqüência angular natural de um oscilador amortecido tem valor de 1
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